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如何准确地描述非球形颗粒的形状是研究这类颗粒的普适性曳力模型的关键。本文引入了FD方法,确切地表征了底面为不同形状的正多边形和圆形的柱状颗粒的形状和相互间的差异,建立了用于改进非球形曳力模型适用性的形状阵列。正多边形系列的沉降关系之间的平均差异与FD方法获得的形状差异之间存在着幂函数关系,表明FD方法获得的形状差异能够有效地表征底面形状不同对颗粒终端沉降关系造成的影响。要获得具有普适性的曳力模型,还需以此为基础,进一步引入Ar(或Rep)在不同阶段对沉降关系的影响。
How to accurately describe the shape of non-spherical particles is the key to studying the universal drag model of such particles. In this paper, the FD method is introduced to accurately characterize the shapes and the mutual differences of regular polygons and circular columnar particles with different shapes on the bottom, and a shape array for improving the applicability of non-spherical drag models is established. There is a power function relationship between the average difference between the subsidences of the regular polygon series and the shape difference obtained from the FD method. It is shown that the shape difference obtained by the FD method can effectively characterize the influence of different bottom shapes on the sedimentation relationship of the particle ends. In order to obtain a universal drag drag model, we also need to further introduce the influence of Ar (or Rep) on the settlement in different stages.